G-actions with close orbit spaces

Abstract

The classification of G-spaces by Palais is refined for the case where the orbit space satisfies certain mild topological hypotheses. It is shown that when a sequence of such orbit spaces is "close" to a limit orbit space, in some suitable sense, within a larger ambient orbit space, the G-spaces in the tail of the sequence are strongly equivalent to the limit G-space.

12 pages, 1 figure. The result as previously stated in v1 was incorrect; the hypotheses were insufficient

References in corpus (3)

• Equivariant Alexandrov geometry and orbifold finiteness
• Orbifold finiteness under geometric and spectral constraints
• Orbifold homeomorphism finiteness based on geometric constraints

Cited by in corpus (2)

• Equivariant Alexandrov geometry and orbifold finiteness
• Orbifold finiteness under geometric and spectral constraints